70 lines
2.8 KiB
Markdown
70 lines
2.8 KiB
Markdown
### Tool to create videos of particles or waves in different 2D domains.
|
|
|
|
Created by **Nils Berglund** and optimized by **Marco Mancini**
|
|
|
|
C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
|
|
|
|
Parameter values used in specific simulations will be gradually added to file `Parameters.md`, `Parameters_June21.md` and so on.
|
|
|
|
There are two groups of 4 files and 5 files:
|
|
|
|
### Simulations of classical particles in billiards.
|
|
|
|
1. *global_particles.c*: global variables and parameters
|
|
2. *sub_part_billiard.c*: drawing/computation routines common to `particle_billiard` and `drop_billiard`
|
|
3. *particle_billiard.c*: simulation of a collection of non-interacting particles in a billiard
|
|
4. *drop_billiard.c*: simulation of an expanding front of particles
|
|
|
|
- Create subfolders `tif_part`, `tif_drop`
|
|
- Customize constants at beginning of .c file
|
|
- Compile with
|
|
|
|
`gcc -o particle_billiard particle_billiard.c-O3 -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut`
|
|
|
|
`gcc -o drop_billiard drop_billiard.c-O3 -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut`
|
|
|
|
- Many laptops claim to have 4 cores, but two of those are virtual. OMP acceleration may be more effective after executing
|
|
|
|
`export OMP_NUM_THREADS=2`
|
|
|
|
in the shell before running the program
|
|
|
|
- Generate movie with
|
|
|
|
`ffmpeg -i part.%05d.tif -vcodec libx264 part.mp4`
|
|
|
|
### Simulations of wave equation, heat equation and Schrodinger equation.
|
|
|
|
1. *global_pdes.c*: global variables and parameters
|
|
2. *sub_wave.c*: drawing/computation routines common to `wave_billiard`, `heat` and `schrodinger`
|
|
3. *wave_billiard.c*: simulation of the (linear) wave equation
|
|
4. *heat.c*: simulation of the heat equation, with optional drawing of gradient field lines
|
|
5. *schrodinger.c*: simulation of the Schrodinger equation
|
|
|
|
- Create subfolders `tif_wave`, `tif_heat`, `tif_schrod`
|
|
- Customize constants at beginning of .c file
|
|
- Compile with
|
|
|
|
`gcc -o wave_billiard wave_billiard.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
`gcc -o heat heat.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
`gcc -o schrodinger schrodinger.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
- Many laptops claim to have 4 cores, but two of those are virtual. OMP acceleration may be more effective after executing
|
|
|
|
`export OMP_NUM_THREADS=2`
|
|
|
|
in the shell before running the program
|
|
|
|
- Generate movie with
|
|
|
|
`ffmpeg -i wave.%05d.tif -vcodec libx264 wave.mp4`
|
|
|
|
## Some references ##
|
|
|
|
- Discretizing the wave equation: https://hplgit.github.io/fdm-book/doc/pub/wave/pdf/wave-4print.pdf
|
|
- Boundary condition: https://hal.archives-ouvertes.fr/hal-01374183
|
|
- Cloaking device: https://www.sciencedirect.com/science/article/pii/S0165212514001759
|
|
|